Finding the Third Proportional to 106,648.50 and 233,384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,648.50 : 233,384.25 = 233,384.25 : x
2. Step 2: Convert to fraction form
   106,648.50/233,384.25 = 233,384.25/x
3. Step 3: Cross multiply
   106,648.50x = 233,384.25 × 233,384.25
4. Step 4: Simplify right side
   106,648.50x = 54,468,208,148.06
5. Step 5: Solve for x
   x = 54,468,208,148.06/106,648.50
6. Step 6: Final answer
   x = 510,726.43